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12001012011 = 321778437987
BaseRepresentation
bin10110010110101000…
…01110100100101011
31010222101000120120100
423023110032210223
5144034224341021
65302503200443
7603252630132
oct131324164453
933871016510
1012001012011
1150a9292a4a
1223ab146123
13119342a351
1481bc02919
154a38c0626
hex2cb50e92b

12001012011 has 12 divisors (see below), whose sum is σ = 18354489192. Its totient is φ = 7530046656.

The previous prime is 12001011991. The next prime is 12001012031. The reversal of 12001012011 is 11021010021.

It is a happy number.

12001012011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001011991) and next prime (12001012031).

It is not a de Polignac number, because 12001012011 - 211 = 12001009963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001011984 and 12001012002.

It is not an unprimeable number, because it can be changed into a prime (12001012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39218841 + ... + 39219146.

It is an arithmetic number, because the mean of its divisors is an integer number (1529540766).

Almost surely, 212001012011 is an apocalyptic number.

12001012011 is a deficient number, since it is larger than the sum of its proper divisors (6353477181).

12001012011 is a wasteful number, since it uses less digits than its factorization.

12001012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78438010 (or 78438007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001012011 its reverse (11021010021), we get a palindrome (23022022032).

The spelling of 12001012011 in words is "twelve billion, one million, twelve thousand, eleven".

Divisors: 1 3 9 17 51 153 78437987 235313961 705941883 1333445779 4000337337 12001012011